Mathematical Discoveries

[IisMathwizard]

I myself support FIRST and the Sciences and even more so...
MATHEMATICS!
I noticed there was a mathematics and science forum so i decided to look into it further and was astonished. There is a major lack of development in this section of the Chief Dephi forums so I decided to take the initiative to create a thread dedicated to the announcement of Mathematical discoveries from students of FIRST. I myself take part in creating mathematical formulas for Prime numbers, Volume of any shape, etc. and I don't think i'm the only person in the world who shares this passion. I hope this thread will inspire FIRST students to take a break and help advance the mathematical world...


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[vigkvagkv2]

I too am a math fanatic. I've taken literaly every math class possible in my high school, and am now in AP Stats. I remember a few years back we were hypothetically talking about how to balance something on a board in a robotics meeting. What started with a simple diagram of "this is the center of where the three weights should be" turned into "if we have it like this then the force from gravity isn't pointing directly through the board anymore so the forces are technicaly less and with..." so on and so forth. It eventualy took up a whole classroom whiteboard with me solving every new aspect of the equation that came up, with other teammates double-checking my work with calculators and such. The conversation eventualy ended in about 5 hours. One of the happiest moments of my life.

[Ether]

Originally Posted by vigkvagkv2

I too am a math fanatic.

Solve the attached puzzle.

[vigkvagkv2]

Is it 96.6 miles? (Finally think I have it after nearly 2 hrs and 4 people working together )

[Molten]

Originally Posted by Ether

Solve the attached puzzle.

I am rarely stumped on this sort of problem, but this time I am. Guess this will be something to scratch my head and ponder at work tomorrow.

[pfreivald]

Anyone who loves math will love this: http://vihart.com/

Her videos on doodling in math class are my favorites, but it's all great stuff!

[Ether]

Originally Posted by vigkvagkv2

96.6 miles?

Yes. Nice job.

[Richard Wallace]

Originally Posted by Ether

Solve the attached puzzle.

Cool puzzle. Let's add a twist: the message to the General comes from headquarters. It reads, "The enemy is attacking our fort on the other side of the desert."

After receiving the message, the General orders the Army to march twice as fast. When the Horseman returns to his post in the rear, the Army has advanced 45 miles from its position when he left. The Horseman always rides as fast as he can, so his speed returning is the same as his speed when delivering the message.

How many miles did the Horseman ride?

[Ether]

Originally Posted by Richard

How many miles did the Horseman ride?

Solution PM'd to you.

[Richard Wallace]

Originally Posted by Ether

Solution PM'd to you.

Matches what I got.

[IisMathwizard]

One of my mentors came to me and asked me to come up with an equation that would calculate how far apart this one "Grabbing Mechanism" would open up if we knew certain arm lengths and that the solenoid we would use would pull the x value down by 1 inch (as shown). Here are my results; please enjoy and use if your grabber is similar.

y=total arm length

y1=arm length from static(non moving but pivoting joint) to first dynamically placed joint(moves with extension and compression)

y2="Arm length of "truss" in center of the arm mechanism. It is the tilted arm.

x=height ( or length) of first dynamically placed joints to middle joint.

Look at document attached.

arm spread.doc

[Ether]

Originally Posted by IisMathwizard

One of my mentors came to me and asked me to come up with an equation that would calculate how far apart this one "Grabbing Mechanism" would open up if we knew certain arm lengths and that the solenoid we would use would pull the x value down by 1 inch (as shown). Here are my results; please enjoy and use if your grabber is similar.

y=total arm length

y1=arm length from static(non moving but pivoting joint) to first dynamically placed joint(moves with extension and compression)

y2="Arm length of "truss" in center of the arm mechanism. It is the tilted arm.

x=height ( or length) of first dynamically placed joints to middle joint.

Look at document attached.

Attachment 10064

I'd check your work for you but I can't make heads or tails out of the ASCII art diagram. Can you post a CAD drawing or some photographs?

[RMiller]

Originally Posted by Ether

Solve the attached puzzle.

It has been too long since I have done systems of equations.